Provided are compositions that are stable formulations of a hyaluronan-degrading enzyme or are stable co-formulations of a fast-acting insulin and a hyaluronan degrading enzyme, including a recombinant human PH20 (rHuPH20).Linvention concerne des compositions qui sont des formulations stables dune enzyme de dégradation de lhyaluronane ou qui sont des co-formulations stables dune insuline à action rapide et dune enzyme de dégradation de lhyaluronane, comprenant un PH20 humain recombinant (rHuPH20).